Cantor space: Difference between revisions
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Revision as of 23:51, 26 October 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Definition
Symbol-free definition
A topological space is termed a Cantor space if it satisfies the following equivalent conditions:
- It is perfect, compact, totally disconnected, metrizable and non-empty
- It is homeomorphic to the Cantor set